Sampling of Band-Limited Vectors

Journal of Fourier Analysis and Applications

Volumn 7, Issue 1, 2001, Pages 93-100

  Pesenson, Isaac ^a  

^a Temple University   (United States)

Author keywords

Band limited vectors in Hilbert spaces; Bernstein inequality in Hilbert spaces; Functional; Reconstruction formula

Indexed keywords

EID: 0035616727     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00041-001-0007-9     Document Type: Article

References (8)

1. Benedetto, J.J. (1992). Irregular sampling and frames, Wavelets: A Tutorial in Theory and Applications, Chui, C.K., Ed., Academic Press, Boston, 445-507.
2. Feichtinger, H.G. and Gröchenig, K. (1994). Theory and practice of irregular sampling, Wavelets: mathematics and applications, Stud. Adv. Math., CRC, Boca Raton, FL, 305-363.
3. Lions, J.-L. and Magenes, E. (1975). Non-Homogeneous Boundary Value Problem and Applications, Springer-Verlag.
4. Pesenson, I. (2000). A sampling theorem on homogeneous manifolds, Transactions of AMS, 9(352), 4257-4269.
5. Pesenson, I. (1998). Reconstruction of Paley-Wiener functions on the Heisenberg group, Am. Math. Soc. Transl., 184(2), 207-216.
6. Pesenson, I. (1998). Sampling of Paley-Wiener functions on stratified groups, J. Fourier Anal. Appl., 4, 269-280.
7. d), Proc. AMS, 127(12), 3593-3600.
8. Pesenson, I. (1995). Lagrangian splines, Spectral Entire Functions and Shannon-Whittaker Theorem on Manifolds, TURR 95-87, 1-28.